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Finding the Third Proportional to 1,071,646 and 1,459,401

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Solution

The third proportional to 1,071,646 and 1,459,401 is: 1,987,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,646 : 1,459,401 = 1,459,401 : x
  2. Step 2: Convert to fraction form
    1,071,646/1,459,401 = 1,459,401/x
  3. Step 3: Cross multiply
    1,071,646x = 1,459,401 × 1,459,401
  4. Step 4: Simplify right side
    1,071,646x = 2,129,851,278,801
  5. Step 5: Solve for x
    x = 2,129,851,278,801/1,071,646
  6. Step 6: Final answer
    x = 1,987,457.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.